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TECHNICAL PAPERS

On the Behavior of Folded Tape-Springs

[+] Author and Article Information
K. A. Seffen

Department of Mechanical Engineering, University of Manchester Institute of Science and Technology, Sackville Street, Manchester M60 1QD, UKe-mail: keith.seffen@umist.ac.uk

J. Appl. Mech 68(3), 369-375 (Dec 06, 2000) (7 pages) doi:10.1115/1.1365153 History: Received October 18, 2000; Revised December 06, 2000
Copyright © 2001 by ASME
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References

Seffen,  K. A., and Pellegrino,  S., 1999, “Deployment Dynamics of Tape-Springs,” Proc. R. Soc. London, Ser. A, 455, pp. 1003–1048.
Seffen, K. A., 1997, Analysis of Structures Deployed by Tape-Springs, Ph.D. thesis, University of Cambridge, Cambridge, UK.
Seffen, K. A. and Pellegrino, S., 1997, “Deployment of a Rigid Panel by Tape-Springs,” Technical report, University of Cambridge, Department of Engineering, CUED/D-STRUCT/TR 168.
Seffen, K. A., Pellegrino, S., and Parks, G. T., 1998, “Deployment of a Panel by Tape-Spring Hinges,” Proceedings of IUTAM-IASS Symposium on Deployable Structures: Theory and Applications, S. Pellegrino and S. D. Guest, eds., Kluwer, The Netherlands, pp. 355–364.
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Seffen,  K. A., You,  Z., and Pellegrino,  S., 2000, “Folding and Deployment of Curved Springs,” Int. J. Mech. Sci., 42, pp. 2055–2073.
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Figures

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Tape spring definitions: (a) undeformed geometry; (b) deformation with a single fold under end-wise couples C. The section view is end-on and the direction of bending is in the opposite sense to the transverse curvature.
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Performance of fold under end loads: (a) end force applied to built-in tape-spring and the fold freely moves; (b) symmetric end loading and a folded tape-spring and the fold does not move
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Finite element model and deformation response: (a) original mesh and initial bending to form an opposite-sense fold; (b) tape-spring before and after compression by end forces with fixed end rotation
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Comparison of behavior for end-wise compression: (a) ratio of the bending strain energy to stretching strain energy in tape-spring during end-wise compression; (b) variation in longitudinal curvature along a compressed tape-spring: solid, constant bending moment M*; dashed, compression under P
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Definition of parameters associated with deformation of a tape-spring
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Comparison of behavior for end-wise compression: (a) force-displacement response of a bent tape-spring with geometry in Table 1. The continuous line is the finite element analysis result and the squares denote the theoretical prediction. (b) Variation in longitudinal curvature change, κl=1/r, within the fold for P=0N (solid), P=1.266N (dashed), and P=7.020N (dashed-dot). FEA given by thick lines, theory as symbols and thin lines.
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Comparison of behavior between end loads and maximum longitudinal radius curvature: (a) Variation in end couple with applied force: FEA (solid); theory (squares). Geometry as in Table 1. (b) Variation in longitudinal curvature at the fold mid-point, κl,A with end force P. Line-style as in part (a).
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Comparison of behavior of repelling end-wise forces: (a) Variation in force P with end displacement δ: FEA given by continuous line; theoretical prediction is squares. Geometry as in Table 1. (b) Behavior of longitudinal radius of curvature for P=0N (solid), P=−1.318N (dashed), and P=−2.644N (dashed-dot). FEA is thick lines, theory is thin lines and symbols.

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